Properties of the Number 57744

Fifty-Seven Thousand Seven Hundred Forty-Four

Basics

Value: 57743 → 57744 → 57745

Parity: even

Prime: No

Previous Prime: 57737

Next Prime: 57751

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ⁴ × 3 ² × 401

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110000110010000

Octal: 160620

Duodecimal: 29500

Hexadecimal: e190

Square: 3334369536

Square Root: 240.29981273400944

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

T(n,k)=Number of nXk 0..1 arrays with every element unequal to 1, 2, 3 or 5 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. A318098

Number of 3 X 3 integer matrices with elements in the range [ -n,n ] which generate a group of finite order under matrix multiplication. A53170

a(n) = coefficient of xⁿ*yⁿ in ∏_n>=1 (1 - (xⁿ + yⁿ))³. A322214

Base 6 digital convolution sequence. A33643

Number of length n+4 0..1 arrays with at most two downsteps in every n consecutive neighbor pairs. A256819

Number of nX4 0..1 arrays with every element unequal to 1, 2, 3 or 5 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. A318094

Number of n X 6 0..1 arrays with every element unequal to 1, 2, 3 or 5 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. A318096

Coefficients of expansion polynomial:p(x,t)=Exp[ -t²* x](1 - t)^-x/x. A174893

Expansion of (1-2·x³)/(1-2·x-x³+2·x⁴). A57744